Question

A dealer sells an article for Rs 24 and gains as much percent as the cost price of the article
Find the Cost price of the article​

Answer 1

Answer:

CP=100/100+profit×SP

=100/124×24

=rupees 19.35

Step-by-step explanation:

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Answer 2

Answer:-

Given:-

• A dealer sells an article for RS 24 and gains as much percent as the cost price of the article

To find:-

• The cost price of the article

Solution:-

Let the cost price of article be RS. x

Then, gain percent = x

Therefore, the selling price of article

$\implies$ (x + x/100 × x)

$\implies$ x² + 100x/100

It is given that

x² + 100x/100 = 24

x² + 100x = 2400

x² + 1000x - 2400 = 0

x² + 120x - 20x - 2400 = 0

x(x + 120)-20(x + 120) = 0

(x + 120)(x - 20) = 0

x - 120 = 0

x = -120

(or)

x - 20 = 0

x = 20

Because x cannot be negative

Thus, "x = 20" is the require solution

Therefore, the cost price of article be x is "RS.20"